Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
60634 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 1.017 | 1.1331 | 0.8976 | [X:[1.4286, 1.4286], M:[1.1429], q:[0.7381, 0.3095], qb:[0.2619, 0.9762], phi:[0.2857]] | [X:[[0], [0]], M:[[0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 11163/10976, c: 12437/10976, X1: 10/7, X2: 10/7, M1: 8/7, q1: 31/42, q2: 13/42, qb1: 11/42, qb2: 41/42, phi1: 2/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{1}$ | 0 | t^2.57 + t^3. + 2*t^3.43 + t^3.86 + 2*t^4.29 + 2*t^4.93 + 2*t^5.14 + 2*t^5.36 + 2*t^6.43 + 4*t^6.86 + 3*t^7.29 + 5*t^7.71 + 2*t^7.93 + t^8.14 + 2*t^8.36 + 4*t^8.57 + 2*t^8.79 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6.86/y - (2*t^7.29)/y - t^7.71/y - (2*t^8.14)/y + t^8.57/y - t^3.86*y - t^4.71*y - t^6.86*y - 2*t^7.29*y - t^7.71*y - 2*t^8.14*y + t^8.57*y + t^8.57*y^2 | t^2.57 + t^3. + 2*t^3.43 + t^3.86 + 2*t^4.29 + t^4.93/g1^3 + g1^3*t^4.93 + 2*t^5.14 + t^5.36/g1^3 + g1^3*t^5.36 + 2*t^6.43 + 4*t^6.86 + 3*t^7.29 + 5*t^7.71 + t^7.93/g1^3 + g1^3*t^7.93 + t^8.14 + t^8.36/g1^3 + g1^3*t^8.36 + 4*t^8.57 + t^8.79/g1^3 + g1^3*t^8.79 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6.86/y - (2*t^7.29)/y - t^7.71/y - (2*t^8.14)/y + t^8.57/y - t^3.86*y - t^4.71*y - t^6.86*y - 2*t^7.29*y - t^7.71*y - 2*t^8.14*y + t^8.57*y + t^8.57*y^2 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
61014 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | 0.9555 | 1.0716 | 0.8917 | [X:[1.4286, 1.4286], M:[1.1429], q:[0.619, 0.1905], qb:[0.381, 1.0952], phi:[0.2857]] | t^2.57 + t^3. + 2*t^3.43 + 2*t^3.86 + 3*t^4.29 + 2*t^5.14 + t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 1311/1372, c: 5881/5488, X1: 10/7, X2: 10/7, M1: 8/7, q1: 13/21, q2: 4/21, qb1: 8/21, qb2: 23/21, phi1: 2/7} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
57407 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.0756 | 1.1986 | 0.8974 | [X:[1.5081], M:[0.9839], q:[0.6586, 0.4288], qb:[0.3414, 1.0954], phi:[0.246]] | t^2.214 + t^2.31 + t^2.952 + t^3. + t^3.786 + t^4.427 + 2*t^4.524 + t^4.573 + t^4.621 + t^5.165 + 2*t^5.262 + 2*t^5.286 + t^5.31 + t^5.903 + t^5.952 - t^6. - t^3.738/y - t^4.476/y - t^5.952/y - t^3.738*y - t^4.476*y - t^5.952*y | detail |